A piezoelectric screw dislocation near an elliptical inhomogeneity containing a confocal rigid line

C.Z. Jiang; Y.X. Zhao; Y.W. Liu

doi:10.1016/j.crme.2012.07.002

A piezoelectric screw dislocation near an elliptical inhomogeneity containing a confocal rigid line

C.Z. Jiang ^1,^2,³ ; Y.X. Zhao ^1,² ; Y.W. Liu ^1,²

¹ State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China
² College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, PR China
³ Department of Physics and Electronic Information Engineering, Xiangnan University, Chenzhou 423000, PR China

Comptes Rendus. Mécanique, Volume 340 (2012) no. 9, pp. 661-667.

Résumé

The interaction between a piezoelectric screw dislocation and an elliptical inhomogeneity in piezoelectric composite material which contains an electrically conductive confocal rigid line is studied, especially analyzing the shielding effect of a piezoelectric screw dislocation near an elliptical inhomogeneity. By applying the complex variable method, the analytical solution to the elastic field and the electric field, the field intensity factors at the tip of the rigid line are derived. The image force acting on the piezoelectric screw dislocation is calculated by using the generalized Peach–Koehler formula. Accordingly, the location and the orientation of the dislocation, the material properties upon the shielding or anti-shielding effect on the stress intensity factors, as well as the effects of the rigid line and the electroelastic properties of the piezoelectric materials on the image force are discussed.

Reçu le : 2012-05-23
Accepté le : 2012-07-10
Publié le : 2012-08-31

DOI : 10.1016/j.crme.2012.07.002

Mots clés : Material engineering, Piezoelectric screw dislocation, Elliptical inhomogeneity, Rigid line, Complex variable method

Affiliations des auteurs :

C.Z. Jiang ^{1, 2, 3} ; Y.X. Zhao ^{1, 2} ; Y.W. Liu ^{1, 2}

@article{CRMECA_2012__340_9_661_0,
     author = {C.Z. Jiang and Y.X. Zhao and Y.W. Liu},
     title = {A piezoelectric screw dislocation near an elliptical inhomogeneity containing a confocal rigid line},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {661--667},
     publisher = {Elsevier},
     volume = {340},
     number = {9},
     year = {2012},
     doi = {10.1016/j.crme.2012.07.002},
     language = {en},
}

TY  - JOUR
AU  - C.Z. Jiang
AU  - Y.X. Zhao
AU  - Y.W. Liu
TI  - A piezoelectric screw dislocation near an elliptical inhomogeneity containing a confocal rigid line
JO  - Comptes Rendus. Mécanique
PY  - 2012
SP  - 661
EP  - 667
VL  - 340
IS  - 9
PB  - Elsevier
DO  - 10.1016/j.crme.2012.07.002
LA  - en
ID  - CRMECA_2012__340_9_661_0
ER  -

%0 Journal Article
%A C.Z. Jiang
%A Y.X. Zhao
%A Y.W. Liu
%T A piezoelectric screw dislocation near an elliptical inhomogeneity containing a confocal rigid line
%J Comptes Rendus. Mécanique
%D 2012
%P 661-667
%V 340
%N 9
%I Elsevier
%R 10.1016/j.crme.2012.07.002
%G en
%F CRMECA_2012__340_9_661_0

C.Z. Jiang; Y.X. Zhao; Y.W. Liu. A piezoelectric screw dislocation near an elliptical inhomogeneity containing a confocal rigid line. Comptes Rendus. Mécanique, Volume 340 (2012) no. 9, pp. 661-667. doi : 10.1016/j.crme.2012.07.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.07.002/

Bibliographie
Cité par

[1] F. dellʼIsola; M. Porfiri; S. Vidoli Piezo-electromechanical (PEM) structures: passive vibration control using distributed piezoelectric transducers, C. R. Mecanique, Volume 331 (2003), pp. 69-76

[2] C. Falconi; G. Mantini; A. DʼAmico; Z.L. Wang Studying piezoelectric nanowires and nanowalls for energy harvesting, Sens. Actuators B, Volume 139 (2009), pp. 511-519

[3] A. Mahieddine; J. Pouget; M. Ouali Modeling and analysis of delaminated beams with integrated piezoelectric actuators, C. R. Mecanique, Volume 338 (2010), pp. 283-289

[4] Y.D. Li; K.Y. Lee; N. Zhang A generalized hypergeometric function method for axisymmetric vibration analysis of a piezoelectric actuator, Eur. J. Mech. A Solids, Volume 31 (2012), pp. 110-116

[5] T. Weller; C. Licht Asymptotic modeling of piezoelectric plates with electric field gradient, C. R. Mecanique, Volume 340 (2012) no. 6, pp. 405-410

[6] Z. Huang; Z.B. Kuang Dislocation inside a piezoelectric media with an elliptical inhomogeneity, Int. J. Solids Struct., Volume 38 (2001), pp. 8459-8480

[7] B.J. Chen; Z.M. Xiao; K.M. Liew A screw dislocation in a piezoelectric bi-material wedge, Int. J. Eng. Sci., Volume 40 (2002), pp. 1665-1685

[8] B.J. Chen; Z.M. Xiao; K.M. Liew A piezoelectric screw dislocation near a wedge-shaped bi-material interface, Int. J. Solids Struct., Volume 40 (2003), pp. 2041-2056

[9] Y.W. Liu; Q.H. Fang; C.P. Jiang A piezoelectric screw dislocation interacting with an interphase layer between a circular inclusion and the matrix, Int. J. Solids Struct., Volume 41 (2004), pp. 3255-3274

[10] Y.W. Liu; Q.H. Fang Electroelastic interaction between a piezoelectric screw dislocation and a circular inhomogeneity with interfacial cracks, Appl. Math. Mech., Volume 12 (2004), pp. 1325-1332

[11] X. Wang; E. Pan A moving screw dislocation interacting with an imperfect piezoelectric bimaterial interface, Phys. Status Solidi B, Volume 244 (2007), pp. 1940-1956

[12] X. Wang; E. Pan Interaction between a screw dislocation and a viscoelastic piezoelectric bimaterial interface, Int. J. Solids Struct., Volume 45 (2008), pp. 245-257

[13] Q.H. Fang; B. Li; Y.W. Liu Electro-elastic interaction between a moving screw dislocation and collinear interfacial rigid lines, Mater. Sci. Eng. A, Volume 430 (2006), pp. 46-58

[14] Q.H. Fang; Y.W. Liu; P.H. Wen A piezoelectric dislocation interacting with an elliptical inclusion containing electrically conductive interfacial rigid lines, Int. J. Mech. Sci., Volume 50 (2008), pp. 683-693

[15] L.Z. Wu; S.Y. Du A rigid line in a confocal elliptic piezoelectric inhomogeneity embedded in an infinite piezoelectric medium, Int. J. Solids Struct., Volume 37 (2000), pp. 1453-1469

[16] N.L. Muskhelishvili Some Basic Problems of Mathematical Theory of Elasticity, Noordhoff, Leyden, 1975

[17] E. Smith The interaction between dislocations and inhomogeneities I, Int. J. Eng. Sci., Volume 6 (1968), pp. 129-143

[18] L.Z. Wu A crack in a confocal elliptic piezoelectric inhomogeneity embedded in an infinite piezoelectric medium, Int. J. Fract., Volume 104 (2000), pp. 1-14

[19] Y.E. Pak Force on a piezoelectric screw dislocation, J. Appl. Mech., Volume 57 (1990), pp. 863-869

Cité par Sources :

Commentaires - Politique